What is the Greatest Common Factor of 35750 and 35765?

Greatest common factor (GCF) of 35750 and 35765 is 5.

GCF(35750,35765) = 5

We will now calculate the prime factors of 35750 and 35765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35750 and 35765.

How to find the GCF of 35750 and 35765?

We will first find the prime factorization of 35750 and 35765. After we will calculate the factors of 35750 and 35765 and find the biggest common factor number .

Step-1: Prime Factorization of 35750

Prime factors of 35750 are 2, 5, 11, 13. Prime factorization of 35750 in exponential form is:

35750 = 2¹ × 5³ × 11¹ × 13¹

Step-2: Prime Factorization of 35765

Prime factors of 35765 are 5, 23, 311. Prime factorization of 35765 in exponential form is:

35765 = 5¹ × 23¹ × 311¹

Step-3: Factors of 35750

List of positive integer factors of 35750 that divides 35750 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 125, 130, 143, 250, 275, 286, 325, 550, 650, 715, 1375, 1430, 1625, 2750, 3250, 3575, 7150, 17875

Step-4: Factors of 35765

List of positive integer factors of 35765 that divides 35750 without a remainder.

1, 5, 23, 115, 311, 1555, 7153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35750 and 35765. The biggest common factor number is the GCF number.
So the greatest common factor 35750 and 35765 is 5.

Also check out the Least Common Multiple of 35750 and 35765